논문KCI 등재
HILBERT ℓ-CLASS FIELD TOWERS OF IMAGINARY ℓ-CYCLIC FUNCTION FIELDS
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In this paper we study the in niteness of the Hilbert -class eld tower of imaginary ℓ-cyclic function fields when ℓ⦥ 5.
Abstract
In this paper we study the in niteness of the Hilbert -class eld tower of imaginary ℓ-cyclic function fields when ℓ⦥ 5.
참고문헌 (7)
- S. Bae, "The generalized Redei matrix for function elds", Finite Fields Appl, 18(4), pp.760~780 (2012)
- H. Jung, "Hilbert 2-class eld towers of imaginary quadratic function elds sub- mitted"
- H. Jung, "Hilbert 3-class eld towers of imaginary cubic function elds, submit- ted"
- M. Rosen, "The Hilbert class eld in function elds", Expo. Math, 5(4), pp.365~378 (1987)
- M. Rosen, "Number theory in function elds, Graduate Texts in Mathematics,210" (2002), Springer-Verlag
- R. Schoof, "Algebraic curves over F2 with many rational points", J. Number Theory, 41(1), pp.6~14 (1992)
- J.L. Yucas, "Irreducible polynomials over nite elds with prescribed trace", prescribed constant term, 2006, pp.12, 211~221
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